Title of article :
Fixed Point Theorems for Single Valued Mappings Satisfying the Ordered non-Expansive Conditions on Ultrametric and Non-Archimedean Normed Spaces
Author/Authors :
Mamghaderi, Hamid Faculty of Mathematics - K. N. Toosi University of Technology, Tehran, Iran , Parvaneh Masihaa, Hashem Faculty of Mathematics - K. N. Toosi University of Technology, Tehran, Iran
Abstract :
In this paper, some fixed point theorems for nonexpansive mappings in partially ordered spherically complete ultrametric spaces are proved. In addition, we investigate the existence of fixed points for nonexpansive mappings in partially ordered non-Archimedean normed spaces. Finally, we give some examples to discuss the assumptions and support our results.
Keywords :
Fixed point , partially ordered set , non-Archimedean normed space , ultrametric space , nonexpansive mapping
Journal title :
International Journal of Nonlinear Analysis and Applications
